A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 70% state they would support starting the school year earlier. TheP-value for the test of the hypotheses,,is 0.29. What is the correct interpretation of this value?

Only 29% of households in this sample approve of starting school earlier.

Assuming 65% of households would support starting school earlier, there is a 0.29 probability of getting a sample proportion of 0.70 or more different from 0.65.

Assuming 65% or more households would support starting school earlier, there is a 0.29 probability of getting a sample proportion of 0.70 or more different from 0.65.

Assuming this sample was collected correctly, the probability of getting 70 households out of 100 that would support starting school earlier is 0.29 if 65% of households truly support starting school earlier.